{
  "id": 2775,
  "curve_key": "1137402448:37528791934400",
  "ainvs": [
    "0",
    "1",
    "0",
    "-23695884",
    "-43444000404"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 62.55603883533534,
  "faltings_height": 3.112769677171246,
  "conductor": "125565648",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23",
    "673"
  ],
  "discriminant": "36475404146860685969664",
  "regulator": "158.3180606290961287164439109117942625871420512",
  "points": [
    [
      "17307",
      "2175030"
    ],
    [
      "-46047/16",
      "1944345/64"
    ],
    [
      "-377478/121",
      "15027480/1331"
    ],
    [
      "5646",
      "-52728"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1720 via the rational 2-torsion point x=6283. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.",
  "created_at": "2026-09-26 20:21:52",
  "updated_at": "2026-09-26 20:21:52"
}